-[6x-(4x+8)]=9(6x+3)

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Solution for -[6x-(4x+8)]=9(6x+3) equation:


Simplifying
-1[6x + -1(4x + 8)] = 9(6x + 3)

Reorder the terms:
-1[6x + -1(8 + 4x)] = 9(6x + 3)
-1[6x + (8 * -1 + 4x * -1)] = 9(6x + 3)
-1[6x + (-8 + -4x)] = 9(6x + 3)

Reorder the terms:
-1[-8 + 6x + -4x] = 9(6x + 3)

Combine like terms: 6x + -4x = 2x
-1[-8 + 2x] = 9(6x + 3)
[-8 * -1 + 2x * -1] = 9(6x + 3)
[8 + -2x] = 9(6x + 3)

Reorder the terms:
8 + -2x = 9(3 + 6x)
8 + -2x = (3 * 9 + 6x * 9)
8 + -2x = (27 + 54x)

Solving
8 + -2x = 27 + 54x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-54x' to each side of the equation.
8 + -2x + -54x = 27 + 54x + -54x

Combine like terms: -2x + -54x = -56x
8 + -56x = 27 + 54x + -54x

Combine like terms: 54x + -54x = 0
8 + -56x = 27 + 0
8 + -56x = 27

Add '-8' to each side of the equation.
8 + -8 + -56x = 27 + -8

Combine like terms: 8 + -8 = 0
0 + -56x = 27 + -8
-56x = 27 + -8

Combine like terms: 27 + -8 = 19
-56x = 19

Divide each side by '-56'.
x = -0.3392857143

Simplifying
x = -0.3392857143

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